+ i i i Question 1: A company's desired to estimate employee savings. The savings ($10,000) of 40 employees are arranged in the following Table: Saving Saving Saving Saving 1 23 11 14 21 14 31 15 2 30 12 17 22 22 32 14 19 13 40 23 24 33 15 4 38 14 17 24 14 34 29 5 23 15 40 25 17 35 10 6 38 16 23 26 12 36 10 7 19 17 20 27 30 37 16 8 18 18 20 28 14 38 22 9 43 19 24 29 20 39 16 10 23 20 14 30 14 40 12 1) List all possible systematic samples of size 10, that can be drawn from this set of employees using systematic sampling. Also, obtain corresponding sample means and variance. (Hint: start 1st sample by 1st element (23), 2nd sample by 2nd element (30), etc....) 2) Compute variance of the systematic sample mean, and variance of the SRS mean. Also, compare the precision systematic sample and SRS. (Hint: the relative (3)-v(Isya) 100%) precision is given by vsys 3) Find 95% confidence interval for systematic samples. + i i i Question 1: A company's desired to estimate employee savings. The savings ($10,000) of 40 employees are arranged in the following Table: Saving Saving Saving Saving 1 23 11 14 21 14 31 15 2 30 12 17 22 22 32 14 19 13 40 23 24 33 15 4 38 14 17 24 14 34 29 5 23 15 40 25 17 35 10 6 38 16 23 26 12 36 10 7 19 17 20 27 30 37 16 8 18 18 20 28 14 38 22 9 43 19 24 29 20 39 16 10 23 20 14 30 14 40 12 1) List all possible systematic samples of size 10, that can be drawn from this set of employees using systematic sampling. Also, obtain corresponding sample means and variance. (Hint: start 1st sample by 1st element (23), 2nd sample by 2nd element (30), etc....) 2) Compute variance of the systematic sample mean, and variance of the SRS mean. Also, compare the precision systematic sample and SRS. (Hint: the relative (3)-v(Isya) 100%) precision is given by vsys 3) Find 95% confidence interval for systematic samples